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Multiple extensions of a finite Euler's pentagonal number theorem and the Lucas formulas
- Source :
-
Discrete Mathematics . Sep2008, Vol. 308 Issue 18, p4069-4078. 10p. - Publication Year :
- 2008
-
Abstract
- Abstract: Motivated by the resemblance of a multivariate series identity and a finite analogue of Euler''s pentagonal number theorem, we study multiple extensions of the latter formula. In a different direction we derive a common extension of this multivariate series identity and two formulas of Lucas. Finally we give a combinatorial proof of Lucas’ formulas. [Copyright &y& Elsevier]
- Subjects :
- *NUMBER theory
*BINOMIAL coefficients
*BINOMIAL theorem
*MODULES (Algebra)
Subjects
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 308
- Issue :
- 18
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 32665051
- Full Text :
- https://doi.org/10.1016/j.disc.2007.07.106